Conversion Factors
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Transcript of Conversion Factors
CONVERSION FACTORSObjective: Learn to use one or more conversion factors to solve rate problems.
CONVERSION FACTORWhat is a conversion factor?A conversion factor is a fraction
whose numerator and denominator represent the
same quaintly but use different units.
Thus the fraction is equal to 1.
EXAMPLE:
1 day
1 day
24 hours
1 day
RIGHT?
1 day
24 hours
RIGHT?
1440 minutes
24 hours
1440 minutes
86400 seconds
And so on…
US
EFU
L M
EA
SU
REM
EN
TS
How many do you know?
Conversionsinches (in) =1 foot (ft)
feet (ft) =1 yard (yd)
centimeters(cm)
=1 meter (m)
meters =1 kilometer (k)
ounces (oz) =1 pound (lb)
seconds(s) =1 min
minutes(min) =1 hour (hr)
hours (hrs) =1 day
12
3
100
1000
16
60
60
24
G-
LA
ND
1-gallon (gal)= 4-quarts (qt)=
8-pints (pt)= 16-cups (c)=
128 ounces (oz) 8oz=1 cup
HELP
FU
L
HIN
TS
:
The conversion factor:Must introduce the desired
unitMust cancel the original unit
so that the desired unit is all that remains
The original unit must be on the opposite side of the conversion fraction.
. *mi h h
exft mi ft
2
. **
mi mi miex
ft h ft h
desiredgiven desiredunit
givenunit unitunit
FIN
DIN
G
CO
NV
ER
SIO
N
FAC
TO
RS
A. feet to yardsThere are 3 feet in 1 yard. To convert feet to yards, multiply the number of feet by
B. pounds to ouncesThere are 16 ounces in 1 pound. To convert pounds to ounces, multiply the number of pounds by
Find the appropriate factor for each conversion.
1
3
yd
ft
16
1
oz
lbRemember we need the
units in the denominator to cancel.
TRY THIS!Find the appropriate factor for each conversion.A. Kilometers to centimeters
B. Inches to yards
C. Hours to weeks
1000 m
1 km100 cm
1 m
100000 cm
1 km
1 ft
12 in1 yd
3 ft 1 yd
36 in
1 day
24 hrs1 wk
7 days 1 wk
168 hrs
Multiply the number of km by
this
Multiply the number of in by this
Multiply the number of hrs by this
TRY THIS!A strobe lamp can be used to measure the speed of an object. The lamp flashes every . A camera records the object moving 7.5cm between flashes. How fast is the object moving in ?
1
1000s
ms
m distanceunit rate= =
s time
7.51
1000
cm
s 7.5 1000
1 1
cm
s
7500
1
cm
s
Now convert cm to m
7500
1
cm
s
1
100
m
cm
7500
100
m
s
75
1
m
s
The object is traveling 75m/s
EXAMPLE 1:Find the appropriate factor for each conversion.A. feet to yards
B. pounds to ounces
EXAMPLE 2: The average American uses 580 pounds of paper per year. Find the number of pounds of paper the average American uses per month, to the nearest tenth.
EXAMPLE 3: A strobe lamp can be used to
measure the speed of an object. The
lamp flashes every of a second. A
camera records the object moving
52 cm between flashes. How fast is
the object moving in m/s?
1
100